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Day 211: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    55
    A drinking glass of height 24 cm is in the shape of frustum of a cone and diameters of its bottom and top circular ends are 4 cm and 18 cm respectively. If we take capacity of the glass as πx cm3\pi x\ \text{cm}^3, then what is the value of xx ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2018 (same type asked 5 times) See all 5 of this type

    62
    If 0<θ<90∘0 < \theta < 90^\circ, 0<ϕ<90∘0 < \phi < 90^\circ and cos⁡θ<cos⁡ϕ\cos \theta < \cos \phi, then which one of the following is correct ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2018 (same type asked 5 times) See all 5 of this type

    66
    Consider the following statements : 1. cos⁡2θ=1−p2+q22pq\cos^2 \theta = 1 - \frac{p^2 + q^2}{2pq}, where p, q are non-zero real numbers, is possible only when p=qp = q. 2. tan⁡2θ=4pq(p+q)2−1\tan^2 \theta = \frac{4pq}{(p + q)^2} - 1, where p, q are non-zero real numbers, is possible only when p=qp = q. Which of the statements given above is/are correct ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    47
    If 0<x<π20 < x < \frac{\pi}{2}, then (sin⁡x+cosec⁡x)(\sin x + \operatorname{cosec} x) is

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2016 (same type asked 5 times) See all 5 of this type

    54
    A circle and a square have the same perimeter. Which one of the following is correct ?

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